## Abstract An analytical treatment for a strong crystal field in an octahedral symmetry by using the unitary group approach is given. It shows that the convenience of the unitary group approach is comparable with that of the Racah method.
Alternative implementation of the unitary group approach to the atomic shell theory
β Scribed by Wen Zhenyi; Wang Yubin; Zhang Zhiyong
- Publisher
- John Wiley and Sons
- Year
- 1990
- Tongue
- English
- Weight
- 710 KB
- Volume
- 37
- Category
- Article
- ISSN
- 0020-7608
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β¦ Synopsis
Abstract
Subduction coefficients adapted to the group chain, which appeared in Racah's treatment of f^n^ configurations, are defined and calculated in the unitary group approach. The coefficients are then utilized to construct successively adapted term functions and evaluate other interesting coefficients. In addition the simplified expressions for the Coulomb and spinβorbit operators are obtained in terms of generators.
π SIMILAR VOLUMES
The unitary group based open-shell state specific (SS) coupled-cluster (CC) theory is used to compute energies and ionization potentials for several electronic states of methylene, using a double-zeta plus polarization basis set model. The results are compared with the exact full configuration inter